157148345574640 has 480 divisors, whose sum is σ = 473801590382400. Its totient is φ = 48031702548480.

The previous prime is 157148345574629. The next prime is 157148345574709. The reversal of 157148345574640 is 46475543841751.

157148345574640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×157148345574640² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9254354950 + ... + 9254371930.

It is an arithmetic number, because the mean of its divisors is an integer number (987086646630).

Almost surely, 2^{157148345574640} is an apocalyptic number.

157148345574640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157148345574640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236900795191200).

157148345574640 is an abundant number, since it is smaller than the sum of its proper divisors (316653244807760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157148345574640 is a wasteful number, since it uses less digits than its factorization.

157148345574640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24353 (or 24340 counting only the distinct ones).

The product of its (nonzero) digits is 225792000, while the sum is 64.

The spelling of 157148345574640 in words is "one hundred fifty-seven trillion, one hundred forty-eight billion, three hundred forty-five million, five hundred seventy-four thousand, six hundred forty".